Structural Design and Motion Analysis of the Wearable Knee Joint Exoskeleton by Li Jing, Zhou Jianjun, Zhao Yiqin, Wen Zhiye

“…The angle change curve of the knee joint is consistent with the CGA database through the Matlab/Simulink simulation and the correctness of mathematical model is verified. The lower limb exoskeleton can walk normally through the dynamic simulation of ADAMS,the correctness of the driving function of the knee joint is verified and the torque curve of knee joint is prepared for the control. …”
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Self-Organized Temporal Criticality: Bottom-Up Resilience versus Top-Down Vulnerability by Korosh Mahmoodi, Bruce J. West, Paolo Grigolini

“…We propose this theoretical model to contribute to the mathematical foundation of theoretical sociology illustrated in 1901 by Pareto to explain the rise and fall of elites.…”
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Protocols for translocation processes of flexible polymers through a pore using LAMMPS by Vrinda Garg, Rejoy Mathew, Arindam Chatterjee, Surya K. Ghosh

“…This protocol has potential applications in developing mathematical models for DNA sequencing, controlled drug delivery, and cellular transport processes.For complete details on the use and execution of this protocol, please refer to Garg et al.1 : Publisher’s note: Undertaking any experimental protocol requires adherence to local institutional guidelines for laboratory safety and ethics.…”
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OPTIMIZATION DESIGN OF UNIVERSAL COUPLING FORK BASED ON PARTICLE SWARM ALGORITHM by TANG Shu, LIU Yuan, YU XiangDong, SHI GuanLin

“…In comprehensive consideration of manufacture, structure and assembly of the original fork, the fork was simplified and a mathematical model of the fork was established. A new method based on particle swarm optimization algorithm was put forward for size optimization of the fork,then an Abaqus script written by Python was used to complete parametric modeling and analysis of the fork. …”
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Design and Driving Characteristics of Rehabilitation Robot Flexible Joints Based on Polyvinylidene Fluoride by Xie Guanghui, Sun Hong, Sun Fanwei, Wang Guangjian

“…Based on the three-level artificial muscle for the flexible joint of the rehabilitation robot, the driving mathematical model is identified, and simulation and experiment are implemented. …”
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MOTOR TOLERANCE OPTIMIZATION DESIGN BASED ON IMPROVED GENETIC ALGORITHM by ZHANG YongLiang, CHEN Xu, YAO JiaSheng, ZHANG ShuaiShuai

“…A multi-objective and multi-constrained mathematical model for radial tolerance optimization of a motor assembly was established with processing cost and mass loss cost as objective functions,tolerance values of key components as design variables,and assembly functions and economic processing capabilities as constraints. …”
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RESEARCH ON FATIGUE TEST SPECIFICATION FOR TORSION BEAM REAR AXLE by ZHENG SongLin, DENG Xin, FENG JinZhi, WANG HongHai

“…Based on the torsion beam rear axle,the parameters of entire vehicle are analyzed by ADAMS.The result show that the rear axle load is the most significant factor for vertical force amplitude at wheel center.The relationship between vertical force amplitude and displacement amplitude at wheel center are analyzed by Hyper Works.The result show that that the rear axle load is the most significant factor for displacement amplitude at wheel center.By summarizing the existed fatigue test examples for torsion beam rear axle,the relationship is established mathematically between rear axle load and the displacement of torsion beam rear axle.According to the above analysis,the general fatigue test specification for torsion beam rear axles is established.The effectiveness of the new test specification is verified by comparing with old test specification.…”
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Design of a Leg Lift Aid Device Used in Bed for the Elderly by Jiachao Luo, Qunbiao Wu, Baole Zhao, Qinhu Sun, Haina Yang, Yuyan Zhang

“…The track of the elderly's leg going to bed is analyzed. Based on mathematical modeling，the leg lift trajectory is simulated by intersection curves between spherical surface and conical surface，a spatial linkage is designed to help leg lift and its specific structure design and motion simulation are analyzed. …”
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Practical aspects of forecasting the company’s financial performance by V. V. Kookueva, A. A. Aliev, R. I. Khavich

“…Based on the combined application of various economic and mathematical methods, the forecasting method has been improved, which makes it possible to reduce the forecast error, which in turn allows us making more accurate financial decisions.…”
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Digital model of a pseudo-random number generator based on a continuous chaotic system by Y. A. Drybin, S. V. Sadau, V. S. Sadau

“…On the example of the Lorentz system, the analysis of the law of motion of a chaotic system, linearized in the vicinity of points of stable and unstable equilibrium, is carried out, on the basis of which the parameters of the mathematical model of the generator of pseudo-random numbers are selected. …”
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Design and Research of the Three-posture Adjustable Multi-functional Integrated Wheelchair Bed by Li Yanan, Zhou Xiaochen, Zhang Baoxu, Xu Guoxin, Tan Cao, Zhao Yanjun

“…The device includes a bed chair conversion mechanism, an auxiliary standing mechanism and a bed body lifting mechanism. The kinematic mathematical model of each mechanism was established, and the kinematic simulation was carried out based on the Matlab software. …”
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The Effect of Gaussian Blurring on the Extraction of Peaks and Pits from Digital Elevation Models by A. Pathmanabhan, S. Dinesh

“…In this paper, the effect of Gaussian blurring on the extraction of peaks and pits from digital elevation models (DEMs) is studied. First, a mathematical morphological-based algorithm to extract peaks and pits from DEMs is developed. …”
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Analysis of Naturally Occurring Radioactive Material (NORM) in shifting earth layers in Piyungan, Bantul by Iqbal Nurrahim, Andang Widi Harto, Yohannes Sardjono, Isman Mulyadi Triatmoko, Zuhdi Ismail, Gede Sutresna Wijaya

“…This study advances current methodologies by refining radon data analysis and employing mathematical models to further elucidate this relationship. …”
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Structure Design and Optimization of Flexure Hinge Positioning Stage based on Giant Magnetostrictive Actuator by Mao Pengfei, Yu Caofeng, Wang Chuanli, Zhong Changming

“…The theories of the energy equation,equation of deflection curve,axioms of statics and energy conservation equation are applied to establish the mathematic theory model of flexure hinge positioning stage. …”
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NEW PROFILE MODIFICATION METHOD OF NON⁃UNIFORM MESHES BASED ON SHAPE FUNCTION by LIU Meng, GANG XianYue, CHE YeJun, MENG Peng, ZHANG Fan

“…A new profile modification method of non⁃uniform meshes was proposed to solve the problem of premature failure of mechanical components due to uneven contact pressure distribution.Based on the element shape function and"virtual nodes",a formula was developed to formulate the mechanical relation between the contact nodes of the non⁃uniform mesh,a mathematical equation was derived to formulate the correspondence between the node modification and the contact pressure,and a minimax model was developed to solve the modification by minimizing the maximum contact pressure.In order to improve global convergence and computational efficiency of the modification calculation,the minimax model was transformed into a linear programming model.The applicability and effectiveness of this new profile modification method for general elastic contact modification problems was verified by three elastic contact modification examples.…”
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Measuring. Monitoring. Management. Control by Yu.M. Scryabin

“…Materials and methods. A mathematical model of the operation of the electrostatic location system was used to analyze the error. …”

Development of axisymmetric shell model for creep deformation analysis of reactor pressure vessel lower head by Jang Min Park, Kukhee Lim

“…Particularly, this study provides details of the mathematical formulation, which were lacking in previous studies. …”
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RESEARCH ON CONTACT DAMPING CHARACTERISTICS OF JOINT SURFACE OF MICRO TEXTURED SURFACE by ZHU ChunXia, LIU Lei, ZHAO Yuan, WANG Ning

“…The damping source of the joint surface is analyzed, and the mathematical model of the damping of a single micro convex body on the joint surface is established. …”
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Robust localization using geographic information in bistatic sonar by Kwang Hee Lee, Eui Cheol Jeong, Seongil Kim, Dong Seog Han

“…The target estimation error was analyzed mathematically in terms of the mentioned errors. An improved localization is proposed using the accurate positions of objects in the sea, which can compensate for the errors in the source position, receiver position, and sound speed. …”
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Analytical Solution of Tidal Loading Effect in a Submarine Leaky Confined Aquifer System by Zongzhong Song, Hailong Li, Qian Ma, Chunmiao Zheng, Jiu Jimmy Jiao, Shaohong Li

“…A one-dimensional mathematical model is established to describe the problem, and the analytical solution is derived. …”
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